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2 years ago

Which applies the power of a power rule properly to simplify this expression?

Mathematics

2 answers:

emmainna [20.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

[7^(-8)]^(-4) =

A power raised to a power: multiply the exponents.

= 7^[(-8)*(4)]

= 7^(32)

Answer: D.

vodomira [7]2 years ago

6 0

Answer:

7^32, the fourth option

Step-by-step explanation:

For the power rule, if you have a number to a power, for example $x^{a}$ and raise it to another power so it becomes, $(x^{a} )^{b}$ , We simplify by multiplying the powers together. So the simplified answer would be $x^{(a*b)}$ .

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Henry says he can write an 8 in each box to make both equations true. Is he correct?

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Answer:

yes it's true because 3 groups of 8 is 24

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3 years ago

Steph says that the numbers 38 and 40 are relatively

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That's true because they can be different numbers but they are both even.

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3 years ago

(WILL GIVE BRAINLIEST)

weeeeeb [17]

Answer:

m<I=57

m<J=57

m<K=66

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

m<I= 3x+18

m<K= 5x+1

m<I is congruent to m<J.

We can plug the information we already know into the equation.

3x+18+3x+18+5x+1=180

11x+37=180

Subtract 37 from both sides.

11x=143

x=13

Now, we can find out what the angles are.

m<I= 3x+18

m<I=3(13)+18

m<I=39+18

m<I=57

We know that m<I=m<J, so they are both equal to 57 degrees.

m<J=57

Now for m<K:

m<K=5x+1

m<K=5(13)+1

m<K=65+1

m<K=66

We know this is correct because 57+57+66=180.

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3 years ago

Miyu has 36 grapes to share with her friends. She wants to make sure each friend gets an equal number of grapes. Which size grou

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3 years ago

Which equation represents a linear function?

Anna007 [38]

Answer:

$y-2=-5(x - 2)$

Step-by-step explanation:

Given:

The equations given are:

$y-2=-5(x - 2)\\X+ 7 = -4(X + 8)\\y - 3 = y(x + 4)\\y + 9 = x(x - 1)$

Now, a linear function is of the form:

$y=mx+b$

Where, 'm' and 'b' are real numbers and $m\ne0$

Equation 1: $y-2=-5(x - 2)$

Simplifying using distributive property, we get:

$y-2=-5x+10\\y=-5x+10+2\\y=-5x+12$

The above equation is of the form $y=mx+b$ . So, it represents a linear function.

Equation 2: $X+ 7 = -4(X + 8)$

Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.

Equation 3: $y - 3 = y(x + 4)$

Simplifying the above equation. This gives,

$y-3=yx+4y\\y-4y-yx=3\\y(1-4-x)=3\\y(-3-x)=3\\y=\frac{3}{(-3-x)}$

This is not of the form of the linear function. So, it is also not a linear function.

Equation 4: $y + 9 = x(x - 1)$

Simplifying the above equation. This gives,

$y+9=x^2-x\\y=x^2-x-9$

This is not of the form of the linear function. So, it is also not a linear function.

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3 years ago